On the stability of input-output operators in nonlinear systems with multiple attractors

I. G. Kevrekidis, C. Frousakis, V. Manousiouthakis

Research output: Contribution to conferencePaperpeer-review

Abstract

The input-output stability of attractors of nonlinear systems to perturbations of finite duration in time is examined. In a low-parameter family of such perturbations, and using techniques from the theory of dynamical systems, a boundary value problem is formulated for the location of critical perturbations marking the boundary of stability. An intricate pattern of stability and instability is found in a simple illustrative example (the continuous stirred-tank reactor with a single reaction).

Original languageEnglish (US)
Pages1102-1104
Number of pages3
DOIs
StatePublished - 1989
EventProceedings of the 1989 American Control Conference - Pittsburgh, PA, USA
Duration: Jun 21 1989Jun 23 1989

Other

OtherProceedings of the 1989 American Control Conference
CityPittsburgh, PA, USA
Period6/21/896/23/89

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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